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Finding the Fourth Proportional to 8,256.92, 12,363.50 and 4,965.48

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Solution

The fourth proportional to 8,256.92, 12,363.50 and 4,965.48 is: 7,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.92 : 12,363.50 = 4,965.48 : x
  2. Step 2: Convert to fraction form
    8,256.92/12,363.50 = 4,965.48/x
  3. Step 3: Cross multiply
    8,256.92x = 12,363.50 × 4,965.48
  4. Step 4: Simplify right side
    8,256.92x = 61,390,687.15
  5. Step 5: Solve for x
    x = 61,390,687.15/8,256.92
  6. Step 6: Final answer
    x = 7,435.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.